An improved spectral homotopy analysis method for solving boundary layer problems

Abstract

This article presents an improved spectral-homotopy analysis method (ISHAM) for solving nonlinear differential equations. The implementation of this new technique is shown by solving the Falkner-Skan and magnetohydrodynamic boundary layer problems. The results obtained are compared to numerical solutions in the literature and MATLAB's solver. The results show that the ISHAM converges faster and gives accurate results.